Question: 1. Show that the quadratic form (11) can be rewritten as assuming that a11 0. This procedure is known as ``completing the square.'' 2. Deduce

1. Show that the quadratic form (11) can be rewritten as

1. Show that the quadratic form (11) can be rewritten

assuming that a11 ‰  0. This procedure is known as ``completing the square.''
2. Deduce (12).
3. Deduce (13).
This is an example of the principal axis theorem (exercise 3.91).

a12 a11a22 - a12 2 211 a11

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